The winning team\'s s cores in 10 high school basketball games were recorded It
ID: 3061838 • Letter: T
Question
The winning team's s cores in 10 high school basketball games were recorded It the sample mean Is the sample mean is 21 points and the sample standard deviation isports find Ihe is 7 points, find the 98% confidence interval of the true mean (19.03, 25.84) O(15.79, 2724) (1255, 24.43) (1476,27.24) A summary data on proportional stress limits for specimens constructed using two different types of wood are shown below Type of Wood Red Oak Douglas Fir Sample Size Sample Mean Sample St. Dev 8.5 6.35 0.83 1.13 14 Assuming that both samples were selected from normal distributions with similar population variances, calculate a 99% connidence interval for the true mean difference in proportional stress limit of wood The lower conidence interval bound for the two sided confidencs interval is: 1.0248 09644 0.6364 3.2752 1.3221Explanation / Answer
Solution1:
sample mean=21
sample sd=7
sample size=n=10
alpha=0.02
alpha/2=0.02/2=0.01
df=n-1=10-1=9
tcrit=2.8214
lower limit=sample mean-t*samplesd/sqrt(n)
=21-2.8214*7/sqrt(10)
=14.75
upper limit
=sample mean+t*samplesd/sqrt(n)
=21+((2.8214*7)/sqrt(10))
27.25
98% confidence interval limits are from
(14.75,27.25)
OPTIOND
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